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1102052000 = 2553739359
BaseRepresentation
bin100000110101111…
…1111101010100000
32211210201001010202
41001223333222200
54224111131000
6301204444332
736211200410
oct10153775240
92753631122
101102052000
11516096a85
122690a96a8
1314741b99a
14a6514640
1566b3ddd5
hex41affaa0

1102052000 has 96 divisors (see below), whose sum is σ = 3094640640. Its totient is φ = 377836800.

The previous prime is 1102051987. The next prime is 1102052027. The reversal of 1102052000 is 2502011.

It is a super-2 number, since 2×11020520002 = 2429037221408000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8321 + ... + 47679.

It is an arithmetic number, because the mean of its divisors is an integer number (32235840).

Almost surely, 21102052000 is an apocalyptic number.

1102052000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547320320).

1102052000 is an abundant number, since it is smaller than the sum of its proper divisors (1992588640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1102052000 is an equidigital number, since it uses as much as digits as its factorization.

1102052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39391 (or 39373 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1102052000 is about 33197.1685539595. The cubic root of 1102052000 is about 1032.9216072748.

Adding to 1102052000 its reverse (2502011), we get a palindrome (1104554011).

The spelling of 1102052000 in words is "one billion, one hundred two million, fifty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 39359 78718 157436 196795 275513 314872 393590 551026 629744 787180 983975 1102052 1259488 1377565 1574360 1967950 2204104 2755130 3148720 3935900 4408208 4919875 5510260 6297440 6887825 7871800 8816416 9839750 11020520 13775650 15743600 19679500 22041040 27551300 31487200 34439125 39359000 44082080 55102600 68878250 78718000 110205200 137756500 157436000 220410400 275513000 551026000 1102052000